Geometry - CP/Advanced Geometry - Honors

College Prep Geometry is a full-year course offered to any student in grades 10-12 who has successfully completed Algebra 1 with a C or better and passed the practice HSPA 9. Advanced Geometry is also a full-year course offered to 10th grade students who have successfully completed Advanced Algebra 2 with a B average and passed the practice HSPA 9. This course presents a method of logical reasoning and a setting in which to apply the logic. Students are required to apply geometric principles to both theoretical and practical situations. Advanced Geometry also deals with trigonometry and its application.

Minimal proficiencies which must be mastered for the student to receive 5 credits for the course are:

  1. Define basic geometric terms.
  2. Develop an understanding of the nature of proof by using deductive reasoning, inductive thinking, and indirect proof.
  3. Prove theorems from basic postulates and definitions.
  4. State and apply theorems and/or postulates involving segments, angles, triangles, parallel lines, perpendicular lines, parallelograms, and circles.
  5. Write two-column proofs involving segments, angles, triangles, parallel lines, perpendicular lines, parallelograms, and circles.
  6. Prove and apply congruent triangles.
  7. Prove and apply similar triangles to problems involving ratio and proportion.
  8. State and apply the Pythagorean Theorem and property of special right triangles.
  9. Use trigonometric ratios to solve problems involving right triangles.
  10. Apply theorems about a circle to compute the measures of arcs, chords, angles, and segments of circle.
  11. Compute the area and volume of geometric figures and solids.
  12. Use coordinate geometry to determine properties of a line segment and to write and graph the equation of a line.
  13. Use transformational geometry to determine the location of points, segments, or polygons through the use of reflections, half-turns, symmetry, rotations, translations, and dilation’s.
  14. Define, evaluate, and apply trigonometric functions.*
  15. Apply the concepts and methods of discrete mathematics to model and explore a variety of practical situations.
* Applies only to Advanced Geometry

Ms. Wingate Ms. Marconi